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Finding the Third Proportional to 4,670,135 and 10,259,677

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Solution

The third proportional to 4,670,135 and 10,259,677 is: 22,539,171.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670,135 : 10,259,677 = 10,259,677 : x
  2. Step 2: Convert to fraction form
    4,670,135/10,259,677 = 10,259,677/x
  3. Step 3: Cross multiply
    4,670,135x = 10,259,677 × 10,259,677
  4. Step 4: Simplify right side
    4,670,135x = 105,260,972,144,329
  5. Step 5: Solve for x
    x = 105,260,972,144,329/4,670,135
  6. Step 6: Final answer
    x = 22,539,171.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.